Of interest to some.   rl

 From the New Scientist (there are important diagrams at the site-- 
<http://www.newscientist.com/article/mg19626303.900;jsessionid=OEGLIBGOIACB
 >

Is mathematical pattern the theory of everything?
by Zeeya Merali

GARRETT LISI is an unlikely individual to be staking a claim for a
theory of everything. He has no university affiliation and spends most
of the year surfing in Hawaii. In winter, he heads to the mountains
near Lake Tahoe, California, to teach snowboarding. Until recently,
physics was not much more than a hobby.

That hasn't stopped some leading physicists sitting up and taking
notice after Lisi made his theory public on the physics pre-print
archive this week (www.arxiv.org/abs/0711.0770). By analysing the most
elegant and intricate pattern known to mathematics, Lisi has uncovered
a relationship underlying all the universe's particles and forces,
including gravity - or so he hopes. Lee Smolin at the Perimeter
Institute for Theoretical Physics (PI) in Waterloo, Ontario, Canada,
describes Lisi's work as "fabulous". "It is one of the most compelling
unification models I've seen in many, many years," he says.

That's some achievement, as physicists have been trying to find a
uniform framework for the fundamental forces and particles ever since
they developed the standard model more than 30 years ago. The standard
model successfully weaves together three of the four fundamental
forces of nature: the electromagnetic force; the strong force, which
binds quarks together in atomic nuclei; and the weak force, which
controls radioactive decay. The problem has been that gravity has so
far refused to join the party.

Most attempts to bring gravity into the picture have been based on
string theory, which proposes that particles are ultimately composed
of minuscule strings. Lisi has never been a fan of string theory and
says that it's because of pressure to step into line that he abandoned
academia after his PhD. "I've never been much of a follower, so I
walked off to search for my own theory," he says. Last year, he won a
research grant from the charitably funded Foundational Questions
Institute to pursue his ideas.

He had been tinkering with "weird" equations for years and getting
nowhere, but six months ago he stumbled on a research paper analysing
E8 - a complex, eight-dimensional mathematical pattern with 248
points. He noticed that some of the equations describing its structure
matched his own. "The moment this happened my brain exploded with the
implications and the beauty of the thing," says Lisi. "I thought:
'Holy crap, that's it!'"

What Lisi had realised was that if he could find a way to place the
various elementary particles and forces on E8's 248 points, it might
explain, for example, how the forces make particles decay, as seen in
particle accelerators.

Lisi is not the first person to associate particles with the points of
symmetric patterns. In the 1950s, Murray Gell-Mann and colleagues
correctly predicted the existence of the "omega-minus" particle after
mapping known particles onto the points of a symmetrical mathematical
structure called SU(3). This exposed a blank slot, where the new
particle fitted.

Before tackling the daunting E8, Lisi examined a smaller cousin, a
hexagonal pattern called G2, to see if it would explain how the strong
nuclear force works. According to the standard model, forces are
carried by particles: for example, the strong force is carried by
gluons. Every quark has a quantum property called its "colour charge"
- red, green or blue - which denotes how the quarks are affected by
gluons. Lisi labelled points on G2 with quarks and anti-quarks of each
colour, and with various gluons, and found that he could reproduce the
way that quarks are known to change colour when they interact with
gluons, using nothing more than high-school geometry (see Graphic).

Turning to the geometry of the next simplest pattern in the family,
Lisi found he was able to explain the interactions between neutrinos
and electrons by using the star-like F4. The standard model already
successfully describes the electroweak force, uniting the
electromagnetic and the weak forces. Lisi added gravity into the mix
by including two force-carrying particles called "e-phi" and "omega",
to the F4 diagram - creating a "gravi-electroweak" force.

[snip]



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